a time stamp indicates the date and time that a measurement was taken. a data scientist has a list containing 10,000 time stamps, sorted in chronological order. which of the following is closest to the maximum number of values that will need to be examined when performing a binary search for a value in the list?
What is the maximum number of values that will need to be examined when performing a binary search for a value in a list of 10,000 time stamps?
Answer:
When performing a binary search on a sorted list, the maximum number of values that will need to be examined can be calculated using the formula:
\log_2 (n)
where n is the number of elements in the list.
In this case, the data scientist has a list of 10,000 time stamps. Substituting n = 10,000 into the formula, we get:
\log_2 (10,000) \approx 13.29
Therefore, the closest maximum number of values that will need to be examined when performing a binary search for a value in a list of 10,000 time stamps is approximately 14. This means that at most 14 values will need to be examined in order to find a specific time stamp in the sorted list using a binary search algorithm.
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